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89253252 = 22341179317
BaseRepresentation
bin1010101000111…
…10010110000100
320012221112110000
411110132112010
5140322101002
612505001300
72132432364
oct524362604
9205845400
1089253252
1146421320
1225a83230
131565009a
14bbd49a4
157c8061c
hex551e584

89253252 has 120 divisors (see below), whose sum is σ = 258572160. Its totient is φ = 26619840.

The previous prime is 89253221. The next prime is 89253277. The reversal of 89253252 is 25235298.

It is a super-2 number, since 2×892532522 = 15932285985151008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 281398 + ... + 281714.

It is an arithmetic number, because the mean of its divisors is an integer number (2154768).

Almost surely, 289253252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89253252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129286080).

89253252 is an abundant number, since it is smaller than the sum of its proper divisors (169318908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89253252 is a wasteful number, since it uses less digits than its factorization.

89253252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 89253252 is about 9447.3939263693. The cubic root of 89253252 is about 446.8975937653.

The spelling of 89253252 in words is "eighty-nine million, two hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 79 81 99 108 132 158 162 198 237 297 316 317 324 396 474 594 634 711 869 891 948 951 1188 1268 1422 1738 1782 1902 2133 2607 2844 2853 3476 3487 3564 3804 4266 5214 5706 6399 6974 7821 8532 8559 10428 10461 11412 12798 13948 15642 17118 20922 23463 25043 25596 25677 31284 31383 34236 41844 46926 50086 51354 62766 70389 75129 93852 94149 100172 102708 125532 140778 150258 188298 225387 275473 281556 282447 300516 376596 450774 550946 564894 676161 826419 901548 1101892 1129788 1352322 1652838 2028483 2479257 2704644 3305676 4056966 4958514 7437771 8113932 9917028 14875542 22313313 29751084 44626626 89253252